Sentence examples for evolution operator for from inspiring English sources

Thus, this paper utilizes the historical solutions and proposes a new evolution operator for decomposition-based many-objective optimization.

The resolvent operator is similar to the evolution operator for nonautonomous differential equations in a Banach space.

The analytic expression of the evolution operator for the electron spin in a quantum dot, which provides a clear geometrical interpretation of the qubit dynamics is obtained.

In this paper, we give an algorithm for the control of the unitary evolution operator for the system of two spin 12's interacting through Heisenberg interaction.

They depend on three variables, contrary to a skew-product semiflow or an evolution operator, for which they are generalizations and which depend only on two.

For a densely defined self-adjoint operator H in Hilbert space F the operator exp(−itH) is the evolution operator for the Schrödinger equation iψt′="Hψ, i.e. if ψ 0,x)="ψ0 x) then ψ t,x)="(exp⁡(−itH ψ0)(x) for x∈Q.

Following our previous results for the wave equation system, we derive approximate evolution operators for the linearized Euler equations.

In most of these, the existence of solutions to problem (1.3 - 1.4 1.3 - 1.4ed to the existence of an evolution operelated for toe homogeneous equathen x^{primexistence)= A(t) x(t), quad 0 leq t leq a. (1.5) Throfghout this work we ansumevolutione doperator (A(t)) iS a subspace D dense in X and independent ofor, and thet for eachomogeneousthequationon (t mapsto A(t) x^{primeprimeous.

In order to do so, we have to compute an evolution operator that, for a given initial state |i\rangle, will give a final state \langle f| in such a way to have M_{fi}=\langle f|U|i\rangle.

In this paper a general scheme of the MPE is given, the evolution operator is derived for problems with smooth coefficients and the numerical algorithm is discussed.

Every solution ψ can be written ψ (x, t ) = U ˆ t ψ 0 (x ) and U ˆ t is called the evolution operator (or "propagator") for the Schrödinger equation (37).